Question

How many cans will kyra be able to make from the sheet of metal

Answer 1

Kyra will make 9 cans from the sheet of metal.

Solution:

Height of the can (h) = 5 in

Radius of the can (r) = 6 in

The can is in the shape of a cylinder.

Surface area of the cylinder =
`2 \pi r^(2)+2 \pi r h`

Surface area of the can =
`2 *3.14 * 6^(2)+2 * 3.14 * 6* 5`

`$=226.08+ 188.57`

`=414.65`

Surface area of the can = 414. 65 in²

Area of sheet of metal = 3750 in²

To find how many cans able to make:

`$\text { Number of cans} =\frac{\text { Area of sheet metal }}{\text { Surface area of the can }}`

`$=(3750)/(414.65)`

= 9.04

Number of cans = 9

Hence Kyra will make 9 cans from the sheet of metal.